Page 606 - Algebra 1

19. Verify Solve the inequality 2x + 8 > 2 + 5x + 6. Then select some values of x (81) and substitute them into the inequality to verify the solution set.
20. Bridges A footbridge follows the graph of the equation y = -_1 x2 + 1. If the (84) 9
x-axis represents the ground and each unit on the graph represents 1 foot, what is the horizontal distance across the bridge?
*21. Geometry A rectangular prism and a cylinder are both 10 inches tall. The base (84) of the prism is a square with a side length x. The cylinder has a radius x. Graph the functions of the volumes of each solid in a coordinate plane. Then compare
the graphs.
22. Use the Pythagorean Theorem to find the missing side length. Give the answer
12
(85) in simplest radical form. 9
23. Multiple Choice Which point is the midpoint of the line segment joining (3, 9) (86) and (-1, 2)?
A (2, _11 ) B (2, _7 ) C (-2, -_7 ) D (1, _11 ) 2222
24. Describe the transformation of f(x) = -4x from the linear parent function. (Inv 6)
p
*25. Multi-Step A company is making various boxes to ship different-sized globes.
(88) _ 3222
4πrh _
What fraction of the box do the globes take up? a. Solve for the volume of the box.
b. Find the fraction of the box that the globes take up. _2
8rh _
2r h _
6r h
The boxes have a volume of 4r2h · 3r2h · rh2 and the globes have a volume of 3 .
*26. Geometry A rectangle has length 3x + x and width x + 2y. What is its area? y
(88) _
*27. Error Analysis Two students are asked to solve the equation 15 (88) student is correct? Explain the error.
2
6s -3s
÷ 2s - 1. Which
Student A
_2
6s -3s÷2s-1 15
6s2 -3s · 2s-1 = s(2s-1)2 ___
15 1 5
Student B
_2
6s -3s÷2s-1 15
6s2 - 3s · 1 __
_
15 2s - 1
= s 5
*28. Multiple Choice What is the x-coordinate of the vertex of the graph of a quadratic
(89)
*29. Space If it were possible to play ball on Saturn, the function y = -5.5x2 + 44x
(89)
*30. Analyze How does the value of a in a quadratic equation indicate if the graph of the
(89)
function whose zeros are 0 and -8?
A-4 B0 C4 D8
would approximate the height of a ball kicked straight up at a velocity of 44 meters per second, where x is time in seconds. Find the maximum height of the ball and the time it takes the ball to reach that height.
equation has a minimum or a maximum?
Lesson 89 591